It is interesting to note that in a general effective field theory at tree-level the symmetries generated by \(\widehat{\rm w}^q_n\)  with \(q>2\)  receive corrections [1]}, [2]}. These arise from non-minimal three-point couplings of gravitons to matter fields and therefore depend on the bulk three-point coupling constants \(\gamma ^{s_1,s_2}_p\)  associated with these interactions. The leading and subleading soft graviton theorems are uncorrected by three-point curvature couplings of gravitons to matter because these interactions involve enough extra powers of momentum to vanish in a soft expansion to first subleading order. Equivalently, our general formula (REF ) reveals that the OPE coefficients for these curvature couplings do not contain poles when the graviton dimension \(\Delta \)  is taken to \(\Delta = 1, 0\) . Thus the symmetries generated by \(\widehat{\rm w}^{\frac{3}{2}}_m\)  and \(\widehat{\rm w}^2_{m}\)  respectively are uncorrected. For \(q>2\) , the corrections are controlled by a finite number of parameters. This is due to the fact that there are only a finite number of massless three-point interactions in theories with massless interacting particles of spin \(\le 2\)  and therefore only a finite number of bulk coupling constants \(\gamma ^{s_1,s_2}_p\)  parametrizing the corrections. We leave the deformation of the charges and symmetry algebra induced by these terms as well as by loops to a future investigation.
